Then, by [1]}, the mapping \((\omega ,x)\mapsto g_{(\omega ,x)}(v_{\omega ,x})\)  is measurable on the measurable subset
\(\lbrace (\omega ,x):|v_{\omega ,x}|^{\prime }_{(\omega ,x)}\le \delta \ell (\omega ,x)^{-1}\rbrace \) .

